It is a 6 digit number the least digit is in the thousands place. The greatest digit is in the ones place. The digit in the tens place is 5 less than the digit in the ones place. The digit in the hundred thousands place is greater than the digit in the tens place but is less than six. The digit in the ten thousands place is twice the digit in the tens place. The digit 2 stands for 200. The number is?
581249
541227
Let's break down the given information to find the number step-by-step:
1. The least digit is in the thousands place: This means that the thousands place digit is the smallest digit.
2. The greatest digit is in the ones place: This means that the ones place digit is the largest digit.
3. The digit in the tens place is 5 less than the digit in the ones place: Let's call the tens place digit "X" and the ones place digit "Y." From this statement, we can write the equation: X = Y - 5.
4. The digit in the hundred thousands place is greater than the digit in the tens place but is less than six: Let's call the hundred thousands place digit "Z." From this statement, we can conclude that 0 < Z < 6.
5. The digit in the ten thousands place is twice the digit in the tens place: Let's call the ten thousands place digit "W." From this statement, we can write the equation: W = 2X.
6. The digit 2 stands for 200: This means that if the digit 2 appears in any place value, it represents 200.
Now let's find the number step-by-step:
1. From statement 3, we know that X = Y - 5.
2. From statement 5, we know that W = 2X. Substituting the value of X from statement 3, we get W = 2(Y - 5).
3. From statement 2, we know that the ones place digit is the largest digit. If Z is greater than Y and Y is also greater than X, then Z is the largest digit.
4. From statement 4, we know that 0 < Z < 6. Therefore, Z can be any digit from 1 to 5.
5. From statement 1, we know that the thousands place digit is the smallest digit. Therefore, the thousands place digit can be any digit from 0 to 4.
6. From statement 6, if the digit 2 appears in any place value, it represents 200. Therefore, if Z = 2, it represents 200000.
Now, let's combine all the information to find the number:
If Z = 2, the number would be 200000 + 10000W + 1000(X) + 100(Y) + 10(X) + Y.
Substituting the values we found in the previous steps, we get:
Number = 200000 + 10000(2) + 1000(X) + 100(Y) + 10(X) + Y
= 200000 + 20000 + 1000(X) + 100(Y) + 10(X) + Y
= 220000 + 1010(X) + 101(Y)
Therefore, the number is 220000 + 1010(X) + 101(Y), where X = Y - 5 and Z = 2.
Please provide the values of X and Y, and I can calculate the final number.
To find the number, let's break down the given clues step by step:
1. "The least digit is in the thousands place": This means that the smallest digit of the number is in the thousands place. Since there is no specific information about the thousands digit, we would need additional clues to determine its exact value.
2. "The greatest digit is in the ones place": This tells us that the largest digit of the number is in the ones place. Again, without knowing the specific digit, we cannot determine its value.
3. "The digit in the tens place is 5 less than the digit in the ones place": This gives us a relation between the tens and ones digits. Let's use variables to represent these digits. Let x be the ones digit, then the tens digit is x - 5.
4. "The digit in the hundred thousands place is greater than the digit in the tens place but is less than six": The hundred thousands place digit is greater than the tens place digit, but less than six. Let's call the hundred thousands digit y.
5. "The digit in the ten thousands place is twice the digit in the tens place": The ten thousands place digit is twice the tens place digit. Using the variable x for the tens digit, the ten thousands digit is 2x.
Now let's put all the information together:
The number is represented as: ____y2x(x-5)x
Since it is a 6-digit number, we have:
_ _ _ y 2 x (x-5) x
The question also states that the digit 2 stands for 200. This means that the digit "2" in the number is 200.
Putting everything together, the number can be represented as:
_ _ _ y 200 (x-5) x
Please provide additional information or constraints regarding the number, if available, in order to determine its specific value.